A) (c+2)(c+9)/(c-2)^2
B) c-9/c+2
C) c-9/c-2
D) (c-9)^2/(c+2)(c+9)
What is the quotient of c^2-7c-18/c^2-4 / c^2+11c+18/c^2-11c+18 in lowest terms?
- Posted:
- 3+ months ago by victoria123
- Topics:
- algebra
Details:
Answers (1)
That is nonsense. You need to learn proper presentation, using parentheses to indicate what is over what. The way you have written it would be interpreted like this:
c^2 - 7c - (18/c^2) - (4/c^2) + 11c + (18/c^2) - 11c + 18
I added spaces to improve readability. I don't think that is what you meant, but no other interpretation is possible.
The first term is (c^2 - 7c - 18)/(c^2 - 4)
The second term is (c^2 + 11c + 18)/(c^2 - 11c + 18)
Now you need more parentheses to indicate that these operations are performed first, and then the results form another fraction.
((c^2 - 7c - 18)/(c^2 - 4))/((c^2 + 11c + 18)/(c^2 - 11c + 18))
To evaluate that fraction, you invert and multiply.
((c^2 - 7c - 18)/(c^2 - 4)) x ((c^2 - 11c + 18)/(c^2 + 11c + 18))
So that becomes:
((c^2 - 7c - 18) x (c^2 - 11c + 18))/((c^2 - 4) x (c^2 + 11c + 18))
Getting cross eyed yet? I will let you simplify this, since it is just cranking from here on.
((c^2 - 7c - 18) x (c^2 - 11c + 18))/((c^2 - 4) x (c^2 + 11c + 18))
c^2 - 7c - 18 factors to (c - 9)(c + 2)
c^2 - 11c + 18 factors to (c - 9)(c - 2)
c^2 - 4 factors to (c - 2)(c + 2)
c^2 + 11c + 18 factors to (c + 9)(c + 2)
So now you can cancel a few of these.
((c - 9)(c + 2)(c - 9)(c - 2))/((c - 2)(c + 2)(c + 9)(c + 2))
= ((c - 9)^2 )/((c + 9)(c + 2)) <-- ANSWER
I took another look and realized it was so easy that I simplified it myself.
Get a ruler in your hands. Measure things until you start to understand how a ruler works. Measure some stuff and figure out where the center is. Say you measure a book and it's 7/8" thick. You look at your ruler and see that every eighth is divided into two sixteenths, so obviously half of 7/8" is going to be 7/16". If you write that out you have 1/2 x 7/8 = 7/16. And you notice that 1/2 is divided into 2/4 and then into 4/8 and so on, so you can convert anything to anything by multiplying all the numbers on top and then all the numbers on bottom.
Other rulers are divided into 10 and 100 parts. But an inch is still an inch, so anything on one ruler can be translated to the other ruler. A half inch on one ruler is 5/10 or 50/100 on the other. An eighth inch is just 12.5 marks when you have 100 marks per inch. A metric ruler divides an inch into 25.4 parts, so a half inch would be 12.7 of those parts. Pretty simple, isn't it? Practice this a bit and people will think you went to wizard school.
same
I am so sorry i thought someone might understand it the question has 2 fraction and you divide both of them. let me explain the numerator for the first fraction would be c^2-7c-18 and the denominator would be c^2-4 then there is a division sign in between both fraction and the second fraction the numerator would be c^2+11c+18 and the denominator would be c^2-11c+18. so can you please help find the quotient in lowest terms
Thank you very much